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Three particles, each of mass m and carr...

Three particles, each of mass m and carrying a charge q each, are suspended from a common point by insulating mass-less strings each of length L. If the particles are in equilibrium and are located at the corners of an equilateral triangle of side a, calculate the charge q on each particle. Assume `Lgtgta`.

Text Solution

Verified by Experts

The correct Answer is:
`3.17xx10^(-9) C`


`F_(B)=2F cos 30^(@)=(2Kq^(2))/a^(2)xxsqrt(3)/2=(sqrt(3)Kq^(2))/a^(2)`
For Charge at B: `2r cos 30^(@)=a`

`r=a/sqrt(3)`
`T sin theta=F_(B)`
`T cos theta=mg`
`tan theta=F_(B)/(mg)`
`rArr (sin theta)/(cos theta)=(99xx10^(-2))/(sqrt(3)xx10^(-2))=(sqrt(3)xx9xx10^(9)xxq^(2))/((3xx10^(-2))2)xx1/(10^(-3)xx10)`
`rArr q=3.17xx10^(-9)C`
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Three paricles, each of mass m and carrying a charge q each, are suspended from a common pointby insulating massless strings each of length L. If the particles are in equilibrium and are located at the corners of an equilateral triangle of side a, calculate the charge q on each particle. Assume Lgtgta .

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  • Consider the charges q,q and -q placed at the vertices of an equilateral triangle of each side l. What is the force on each charge ?

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